Wave Energy Formula

 

Wave Energy Formula

You may have been near to any sea shore if you stay close to such places. When the wind passes on the water surface, it leads to the pressure difference between upper and bottom wind that results in the generation of waves. Wave energy is the energy that is gained by the eaves. When the wind blows on the sea shore, it shifts its energy to these waves. These waves carry a lot of power which we call wave power.

The Wave energy formula is given by,

E = ρgH2 / 8

Where,

E = mean wave energy density,

H = wave height,

ρ = water density,

g = acceleration by gravity.

The wave power formula in terms of wave energy is given by,

P = Ecg

Where,

cg = group velocity in m/s.

Example 1

A wave in a sea shore travels with a height of 5 m. Determine the wave power.

Solution:

Given:

Wave height H = 5m,

Water density ρ = 999.97 kg/m3,

Gravity g = 9.8 m/s2

The wave energy formula is given by,

E = ρgH2 / 8

E = 999.97 × 9.8 × 25 / 8

E = 30624.08 J

The wave power in the sea is 30624.08 J

Example 2

A huge wave travels with the energy of 8000 J. Determine its wave height.

Solution:

Given:

Wave energy E = 8000J,

Water density ρ = 999.97 kg/m3,

Gravity g = 9.8 m/s2

The wave height is calculated by wave energy formula,

H = √8E / ρg

= 8 x 8000 / 999.97 x 9.8

           = 2.55 m.

The wave height of the wave is 2.55 m.

 


Practise This Question

A man wants to swim across a river from A to B and back from B to A always following line AB. The distance S between points A and B is S. The velocity of the river current v is constant over the entire width of the river. The line AB makes an angle α with the direction of current. Let the man travel with velocity u and at angle β to the line AB. Find time 't' by which he will be back.